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We study motion of charged particles in the field of a rotating black hole immersed into an external asymptotically uniform magnetic field, focusing on the epicyclic quasi-circular orbits near the equatorial plane. Separating the circular…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Arman Tursunov , Zdeněk Stuchlík , Martin Kološ

The Einstein-Maxwell theory has black hole solutions with electric and magnetic charges. In the standard model for particle physics, dyons with electric and magnetic charges would have been formed in the early universe. We derive the…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Lang Liu , Sang Pyo Kim

We present an algorithm for solving the general relativistic initial value equations for a corotating polytropic star in quasicircular orbit with a nonspinning black hole. The algorithm is used to obtain initial data for cases where the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mark Miller

We present analytical solutions describing a family of both inwardly and outwardly spiralling orbits in the Kerr spacetime. The solutions are exact, and remarkable for their simplicity. These orbits all have the angular momentum and energy…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Andrew Mummery , Steven Balbus

In this paper we present Plane symmetric, Cylindrically Symmetric and Spherically Symmetric Black hole or Vacuum solutions of Einstein Field Equations(EFEs). Some of these solutions are new which we have not seen in the literature. This…

General Physics · Physics 2024-08-15 Farhad Ali

Working in a semi-classical setting, we consider solutions of the Einstein equations that exhibit light trapping in finite time according to distant observers. In spherical symmetry, we construct near-horizon quantities from the assumption…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Pravin K. Dahal , Fil Simovic , Ioannis Soranidis , Daniel R. Terno

Using equations of motion accurate to the third post-Newtonian (3PN) order (O(v/c)^6 beyond Newtonian gravity), we derive expressions for the total energy E and angular momentum J of the orbits of compact binary systems (black holes or…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Thierry Mora , Clifford M. Will

We investigate analytically and numerically the orbits of spinning particles around black holes in the post Newtonian limit and in the presence of cosmic expansion. We show that orbits that are circular in the absence of spin, get deformed…

General Relativity and Quantum Cosmology · Physics 2019-05-22 I. Antoniou , D. Papadopoulos , L. Perivolaropoulos

We present a simplified solution to orbit determination of a binary system from astrometric observations. An exact solution was found by Asada, Akasaka and Kasai by assuming no observational errors. We extend the solution considering…

Astrophysics · Physics 2008-11-26 Hideki Asada , Toshio Akasaka , Kazuya Kudoh

An intriguing open problem in general relativity is whether a stationary equilibrium configuration of multiple, physically relevant black holes can exist. In such a hypothetical setup, the gravitational attraction would need to be balanced…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Jörg Hennig

A special class of orbits known to exist around a Kerr black hole are spherical orbits -- orbits with constant coordinate radii that are not necessarily confined to the equatorial plane. Spherical time-like orbits were first studied by…

General Relativity and Quantum Cosmology · Physics 2021-01-21 Edward Teo

Given the absence of observations of black hole binaries, it is critical that the full range of accessible parameter space be explored in anticipation of future observation with gravitational wave detectors. To this end, we compile the…

General Relativity and Quantum Cosmology · Physics 2011-07-29 Janna Levin , Sean T. McWilliams , Hugo Contreras

An approximate analytical and non-linear solution of the Einstein field equations is derived for a system of multiple non-rotating black holes. The associated space-time has the same asymptotic structure as the Brill-Lindquist initial data…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Faye , P. Jaranowski , G. Schaefer

The precise modeling of binary black hole coalescences in generic planar orbits is a crucial step to disentangle dynamical and isolated binary formation channels through gravitational-wave observations. The merger regime of such…

General Relativity and Quantum Cosmology · Physics 2024-04-26 Gregorio Carullo , Simone Albanesi , Alessandro Nagar , Rossella Gamba , Sebastiano Bernuzzi , Tomas Andrade , Juan Trenado

Using on-shell amplitude methods, we derive a rotating black hole solution in a generic theory of Einstein gravity with additional terms cubic in the Riemann tensor. We give an explicit expression for the metric in Einsteinian Cubic Gravity…

High Energy Physics - Theory · Physics 2021-03-25 Daniel J. Burger , William T. Emond , Nathan Moynihan

The static black hole solutions to the Einstein-Maxwell equations are all spherically symmetric, as are many of the recently discovered black hole solutions in theories of gravity coupled to other forms of matter. However, counterexamples…

General Relativity and Quantum Cosmology · Physics 2010-11-19 S. Alexander Ridgway , Erick J. Weinberg

We find a plethora of new analytic black holes and globally regular horizonless spacetimes in three dimensions. The solutions involve a single real scalar field $\phi$ which always admits a magnetic-like expression proportional to the…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Pablo Bueno , Pablo A. Cano , Javier Moreno , Guido van der Velde

We introduce two new static, spherically symmetric regular black hole solutions that can be obtained from non-linear electrodynamics models. For each solution, we investigate the dynamic stability with respect to arbitrary linear…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Leonardo Balart , Grigoris Panotopoulos , Angel Rincon

We discuss a solution of the Einstein equations, obtained by gluing the external Kerr metric and the internal Weyl metric, describing an axisymmetric static vacuum distorted black hole. These metrics are glued at the null surfaces…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Valeri P. Frolov , Andrei V. Frolov

We study the observational properties of a class of exact solutions of Einstein's field equations describing stationary, axially symmetric, rigidly rotating dust (i.e. non interacting particles). We ask the question whether such solutions…

General Relativity and Quantum Cosmology · Physics 2017-07-18 Batyr Ilyas , Jinye Yang , Daniele Malafarina , Cosimo Bambi
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